Finite Group Databasebeta

← Group #13088914

Character table — Group #13088914

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size112222222223344444444444444444466666666688888888888101012121212121212121212121212121212121515181820202020242424243030303030363636364040454560606090
order12334556610104436121215151515202030303030606060602221212202020201215153030606060606060446661010101010103030303060606060444412121212303030302221212202020201212226664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-111111111111111111-1-111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-11111111111111111111-1-1111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111-1-1-111-1
χ411111111111111111111111111111111-1-111111111111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-11
χ511111111111-1-1111111111111111111-111-1-1-1-1-1-1111111111111111-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1111-1-1-1-111-1-11-1-1-1
χ611111111111-1-1111111111111111111-111-1-1-1-1-1-111111111111-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1111
χ711111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111111-1-1-11
χ811111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1111-1
χ91111-11111111111-1-11111-1-11111-1-1-1-1-11-1111111-11111-1-1-1-1-1-11-11-1-1-1-111-1-1-1-1-1-11111111-11-11-111-1-11-1-11111-1-11-111-11-1-1
χ101111-11111111111-1-11111-1-11111-1-1-1-1-11-1111111-11111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-11-1-11-1111-1-1-111-1-111-1-1-11-1-11-111
χ111111-11111111111-1-11111-1-11111-1-1-1-1-1-11111111-11111-1-1-1-1-1-11-1-11-1-1-1-1-111-1-1-1-11111-1-1-111-11-1-1-1111-11-1-1-1-1111-1-1-111-11
χ121111-11111111111-1-11111-1-11111-1-1-1-1-1-11111111-11111-1-1-1-1-1-1-11-11-1-1-1-1-111-1-1-1-1111111-11-11-11-1-111-11-111-1-111-1111-1-11-1
χ131111-1111111-1-111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-11-111111-1-11111-1-1-1-111-111-11-111-1-1-11-111-1-1111-1-1-1-1-111
χ141111-1111111-1-111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-111111-1-11111-1-1-1-1-1-1-11-11-1111-1-11-11-1-1-1-111-111111-1-1
χ151111-1111111-1-111-1-11111-1-11111-1-1-1-11-11-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-11111-1-1111111-1-1-1-1-1-11-11-11-1-1-111-111-1-111-1-11-1111-11-1
χ161111-1111111-1-111-1-11111-1-11111-1-1-1-11-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-11111-1-1111111-1-1-1-1111-1-11-11-1-1111-1-11111-1-1-11-1-1-11-11
χ1722222−1−52−1+5222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200220000−1−52−1+52−1−52−1+5200000−1−52−1+52−1−52−1+5200000000
χ1822222−1−52−1+5222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-222−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-2-22−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-2-200001+521−521+521−52000001+521−521+521−5200000000
χ1922222−1−52−1+5222−1−52−1+52-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-222-2-21+521+521−521−522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520022-21+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200-2-20000−1−52−1+52−1−52−1+52000001+521−521+521−5200000000
χ2022222−1−52−1+5222−1−52−1+52-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-21+521+521−521−522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-2-2-21+521−521+521−521+521−521+521+521−521−521+521+521−521−52002200001+521−521+521−5200000−1−52−1+52−1−52−1+5200000000
χ2122222−1+52−1−5222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200220000−1+52−1−52−1+52−1−5200000−1+52−1−52−1+52−1−5200000000
χ2222222−1+52−1−5222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-222−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-2-22−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-2-200001−521+521−521+52000001−521+521−521+5200000000
χ2322222−1+52−1−5222−1+52−1−52-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-222-2-21−521−521+521+522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520022-21−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200-2-20000−1+52−1−52−1+52−1−52000001−521+521−521+5200000000
χ2422222−1+52−1−5222−1+52−1−52-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-21−521−521+521+522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-2-2-21−521+521−521+521−521+521−521−521+521+521−521−521+521+52002200001−521+521−521+5200000−1+52−1−52−1+52−1−5200000000
χ252222-2−1−52−1+5222−1−52−1+522222-2-2−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52-22-222−1−52−1−52−1+52−1+52-2−1−52−1+52−1−52−1+521+521−521+521+521−521−52002-2-21+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52002-20000−1−52−1+521+521−5200000−1−52−1+521+521−5200000000
χ262222-2−1−52−1+5222−1−52−1+522222-2-2−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52-2-2222−1−52−1−52−1+52−1+52-2−1−52−1+52−1−52−1+521+521−521+521+521−521−5200-22-21+521−521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200-2200001+521−52−1−52−1+52000001+521−52−1−52−1+5200000000
χ272222-2−1−52−1+5222−1−52−1+52-2-222-2-2−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−5222-2-2-21+521+521−521−52-2−1−52−1+52−1−52−1+521+521−521+521+521−521−52002-22−1−52−1+52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200-220000−1−52−1+521+521−52000001+521−52−1−52−1+5200000000
χ282222-2−1−52−1+5222−1−52−1+52-2-222-2-2−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−522-22-2-21+521+521−521−52-2−1−52−1+52−1−52−1+521+521−521+521+521−521−5200-222−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52002-200001+521−52−1−52−1+5200000−1−52−1+521+521−5200000000
χ292222-2−1+52−1−5222−1+52−1−522222-2-2−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+52-22-222−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1−521−521+521−521−521+521+52002-2-21−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52002-20000−1+52−1−521−521+5200000−1+52−1−521−521+5200000000
χ302222-2−1+52−1−5222−1+52−1−522222-2-2−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+52-2-2222−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1−521−521+521−521−521+521+5200-22-21−521+521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200-2200001−521+52−1+52−1−52000001−521+52−1+52−1−5200000000
χ312222-2−1+52−1−5222−1+52−1−52-2-222-2-2−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+5222-2-2-21−521−521+521+52-2−1+52−1−52−1+52−1−521−521+521−521−521+521+52002-22−1+52−1−52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200-220000−1+52−1−521−521+52000001−521+52−1+52−1−5200000000
χ322222-2−1+52−1−5222−1+52−1−52-2-222-2-2−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+522-22-2-21−521−521+521+52-2−1+52−1−52−1+52−1−521−521+521−521−521+521+5200-222−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52002-200001−521+52−1+52−1−5200000−1+52−1−521−521+5200000000
χ33222-1222-122222-1-1-12-1-1222222-1-1-1-1-1-1200-1-12222-1-1-1-1-122-1-1-1-12200-1220000-1-1-1-1-1-1-1-10000-1-1220000220000000-1-1000-1-10
χ34222-1222-122222-1-1-12-1-1222222-1-1-1-1-1-1200-1-12222-1-1-1-1-122-1-1-1-1-2-200-1220000-1-1-1-1-1-1-1-1000011-2-20000-2-2000000011000110
χ35222-1222-1222-2-2-1-1-12-1-1222222-1-1-1-1-1-1-20011-2-2-2-2-1-1-1-1-122-1-1-1-122001-2-20000111111110000-1-1220000-2-20000000-1-1000110
χ36222-1222-1222-2-2-1-1-12-1-1222222-1-1-1-1-1-1-20011-2-2-2-2-1-1-1-1-122-1-1-1-1-2-2001-2-2000011111111000011-2-2000022000000011000-1-10
χ37222-1-222-122222-1-11-2-1-122-2-222-1-11111-200-1-122221-1-1-1-1-2-211112-2001-2-200001111-1-1-1-10000-112-200002-20000000-11000-110
χ38222-1-222-122222-1-11-2-1-122-2-222-1-11111-200-1-122221-1-1-1-1-2-21111-22001-2-200001111-1-1-1-100001-1-220000-2200000001-10001-10
χ39222-1-222-1222-2-2-1-11-2-1-122-2-222-1-1111120011-2-2-2-21-1-1-1-1-2-211112-200-1220000-1-1-1-111110000-112-20000-220000000-110001-10
χ40222-1-222-1222-2-2-1-11-2-1-122-2-222-1-1111120011-2-2-2-21-1-1-1-1-2-21111-2200-1220000-1-1-1-1111100001-1-2200002-200000001-1000-110
χ4122-122222-12200-1-12-122-1-122-1-1222222022000000-1-1-1-1-1-1-1-1-1-1-122-1-1000222200000000220022-1-1-1-1-1-1002-1-10000-1-100-1000
χ4222-122222-12200-1-12-122-1-122-1-1222222022000000-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1000222200000000-2-200-2-211-1-1-1-100-211000011001000
χ4322-122222-12200-1-12-122-1-122-1-12222220-2-2000000-1-1-1-1-1-1-1-1-1-1-12211000-2-2-2-200000000-2-20022-1-1111100-2110000-1-1001000
χ4422-122222-12200-1-12-122-1-122-1-12222220-2-2000000-1-1-1-1-1-1-1-1-1-1-1-2-211000-2-2-2-2000000002200-2-2111111002-1-100001100-1000
χ4522-12-2222-12200-1-1-2122-1-1-2-2-1-122-2-2-2-202-20000001-1-1-1-11111112-2-1100022-2-20000000022002-2-11-1-11100-2-1-10000-11001000
χ4622-12-2222-12200-1-1-2122-1-1-2-2-1-122-2-2-2-202-20000001-1-1-1-1111111-22-1100022-2-200000000-2-200-221-1-1-1110021100001-100-1000
χ4722-12-2222-12200-1-1-2122-1-1-2-2-1-122-2-2-2-20-220000001-1-1-1-11111112-21-1000-2-22200000000-2-2002-2-1111-1-1002110000-1100-1000
χ4822-12-2222-12200-1-1-2122-1-1-2-2-1-122-2-2-2-20-220000001-1-1-1-1111111-221-1000-2-222000000002200-221-111-1-100-2-1-100001-1001000
χ492-222022-2-2-2-22i−2i2-200222200-2-2-2-200000002i−2i2i−2i2i−2i022-2-20000000000000000000002i−2i2i−2i2i−2i00000000000002i−2i0000002-20000
χ502-222022-2-2-2-22i−2i2-200222200-2-2-2-200000002i−2i2i−2i2i−2i022-2-20000000000000000000002i−2i2i−2i−2i2i0000000000000−2i2i000000-220000
χ512-222022-2-2-2-2−2i2i2-200222200-2-2-2-20000000−2i2i−2i2i−2i2i022-2-2000000000000000000000−2i2i−2i2i2i−2i00000000000002i−2i000000-220000
χ522-222022-2-2-2-2−2i2i2-200222200-2-2-2-20000000−2i2i−2i2i−2i2i022-2-2000000000000000000000−2i2i−2i2i−2i2i0000000000000−2i2i0000002-20000
χ53444-24−1−5−1+5-24−1−5−1+544-2-2-241+521−52−1−5−1+5−1−5−1+5−1−5−1+51+521−521+521+521−521−52400-2-2−1−5−1−5−1+5−1+5-21+521−521+521−52−1−5−1+51+521+521−521−520000-2−1−5−1+500001+521+521−521−521+521+521−521−5200000000000000000000000000000
χ54444-24−1−5−1+5-24−1−5−1+5-4-4-2-2-241+521−52−1−5−1+5−1−5−1+5−1−5−1+51+521−521+521+521−521−52-400221+51+51−51−5-21+521−521+521−52−1−5−1+51+521+521−521−52000021+51−50000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000000000000
χ55444-24−1+5−1−5-24−1+5−1−544-2-2-241−521+52−1+5−1−5−1+5−1−5−1+5−1−51−521+521−521−521+521+52400-2-2−1+5−1+5−1−5−1−5-21−521+521−521+52−1+5−1−51−521−521+521+520000-2−1+5−1−500001−521−521+521+521−521−521+521+5200000000000000000000000000000
χ56444-24−1+5−1−5-24−1+5−1−5-4-4-2-2-241−521+52−1+5−1−5−1+5−1−5−1+5−1−51−521+521−521−521+521+52-400221−51−51+51+5-21−521+521−521+52−1+5−1−51−521−521+521+52000021−51+50000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000000000000
χ57444-2-4−1−5−1+5-24−1−5−1+544-2-22-41+521−52−1−5−1+51+51−5−1−5−1+51+521−52−1−52−1−52−1+52−1+52-400-2-2−1−5−1−5−1+5−1+521+521−521+521−521+51−5−1−52−1−52−1+52−1+52000021+51−50000−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000000000000
χ58444-2-4−1−5−1+5-24−1−5−1+5-4-4-2-22-41+521−52−1−5−1+51+51−5−1−5−1+51+521−52−1−52−1−52−1+52−1+52400221+51+51−51−521+521−521+521−521+51−5−1−52−1−52−1+52−1+520000-2−1−5−1+500001+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000000000000
χ59444-2-4−1+5−1−5-24−1+5−1−544-2-22-41−521+52−1+5−1−51−51+5−1+5−1−51−521+52−1+52−1+52−1−52−1−52-400-2-2−1+5−1+5−1−5−1−521−521+521−521+521−51+5−1+52−1+52−1−52−1−52000021−51+50000−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000000000000
χ60444-2-4−1+5−1−5-24−1+5−1−5-4-4-2-22-41−521+52−1+5−1−51−51+5−1+5−1−51−521+52−1+52−1+52−1−52−1−52400221−51−51+51+521−521+521−521+521−51+5−1+52−1+52−1−52−1−520000-2−1+5−1−500001−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000000000000
χ6144-244−1−5−1+54-2−1−5−1+500-2-24-2−1−5−1+51+521−52−1−5−1+51+521−52−1−5−1+5−1−5−1−5−1+5−1+5044000000-21+521−521+521−521+521−521+521+521−521−5200-2-2000−1−5−1+5−1−5−1+500000000000000001+521−521+521−5200000000000000000
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χ998-8-4-40−2+25−2−25442−252+25002-2001−51+51−51+500−1+5−1−5−1+5−1−52ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ590000000000−1+52−1−521−521+5200−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.